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12-06-2007, 02:59 PM
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#1 (permalink)
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SBR MVP
Join Date: 04-18-07
Posts: 3,588
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Gambling MATH people, question for ya (GANCH)
So I was just thinking about this in the shower. For this deal, throw the spreads out the window.
1) A NFL weekend after byeweeks, there are 16 games a week. If I wanted to do a 16-team parlay, and have to pick every game (no O/U), ect.). Just one pick per game. How many different cards would I have to fill out to get EVERY SINGLE possible combination, which would give a guarentee win. Obviously I am not going to do it, its way to much to even try. Just wondering.
2). If I wanted to play the Mega Millions Lottery, and wanted every combination to guarentee a win, how many would there be? (If your not fimailar, the lottery has balls 1-75. There is also a "Mega Ball" number 1-75. You need to match 5/5 of the regular lottery balls, the you have to match you mega ball, the mega ball drawing is in a seperate container then the regular lottery, so # repeat is possible).
................Good luck
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12-06-2007, 03:04 PM
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#2 (permalink)
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SBR Wise Guy
Join Date: 09-14-07
Posts: 775
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haha, you testing them?
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12-06-2007, 03:05 PM
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#3 (permalink)
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SBR Hall of Famer
Join Date: 07-25-07
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seems like the mega millions is like 175,711,536 combos
Last edited by pokernut9999 : 12-06-2007 at 03:08 PM.
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12-06-2007, 03:06 PM
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#4 (permalink)
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SBR Posting Legend
Join Date: 04-06-07
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Quote:
Originally Posted by Iwinyourmoney
So I was just thinking about this in the shower. For this deal, throw the spreads out the window.
1) A NFL weekend after byeweeks, there are 16 games a week. If I wanted to do a 16-team parlay, and have to pick every game (no O/U), ect.). Just one pick per game. How many different cards would I have to fill out to get EVERY SINGLE possible combination, which would give a guarentee win. Obviously I am not going to do it, its way to much to even try. Just wondering.
2). If I wanted to play the Mega Millions Lottery, and wanted every combination to guarentee a win, how many would there be? (If your not fimailar, the lottery has balls 1-75. There is also a "Mega Ball" number 1-75. You need to match 5/5 of the regular lottery balls, the you have to match you mega ball, the mega ball drawing is in a seperate container then the regular lottery, so # repeat is possible).
................Good luck
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you need 8 for 3 teamer. 16 or 4 teamer, 32 for 5 teamer, 64 for 6 teamer...just multiply 2 for every extra team. you have a claculator
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Offense wins games, but defense wins championships.
钱 錢 argent Geld soldi お金 돈 dinheiro деньги dinero เงิน כסף, ממון raha λεφτά pengar danh từ
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12-06-2007, 03:06 PM
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#5 (permalink)
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SBR Posting Legend
Join Date: 04-06-07
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Quote:
Originally Posted by pokernut9999
seems like the mega millions is like 17+ million combos
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for mega million 56 pick 5 and 1 in 42 for mega ball, the odds is about 1/178million
__________________
Offense wins games, but defense wins championships.
钱 錢 argent Geld soldi お金 돈 dinheiro деньги dinero เงิน כסף, ממון raha λεφτά pengar danh từ
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12-06-2007, 03:07 PM
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#6 (permalink)
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VIP Moderator
Join Date: 08-02-07
Posts: 20,861
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Just  you'll get the same result without the suspense.
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12-06-2007, 03:10 PM
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#7 (permalink)
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SBR MVP
Join Date: 10-17-07
Location: Atlantic City
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Ha, Hope your not thinking this is a way to beat the system. . .
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12-06-2007, 03:13 PM
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#8 (permalink)
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SBR Posting Legend
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Quote:
Originally Posted by Louisvillekid1
Ha, Hope your not thinking this is a way to beat the system. . .
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i do 8 bets for 3 teams parlays for my free plays. that is one way to beat the system.
__________________
Offense wins games, but defense wins championships.
钱 錢 argent Geld soldi お金 돈 dinheiro деньги dinero เงิน כסף, ממון raha λεφτά pengar danh từ
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12-06-2007, 03:17 PM
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#9 (permalink)
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SBR MVP
Join Date: 09-11-07
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I believe the answer to question one is 65,536 combinations. Each game offers you 2 choices and there are 16 games. So the answer is 2 to the 16th power or 65,536.
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12-06-2007, 03:19 PM
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#10 (permalink)
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SBR Posting Legend
Join Date: 04-06-07
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Quote:
Originally Posted by HedgeHog
I believe the answer to question one is 65,536 combinations. Each game offers you 2 choices and there are 16 games. So the answer is 2 to the 16th power or 65,536.
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i can gurantee you that the parlay odds for 16 games is less than +6,553,600
__________________
Offense wins games, but defense wins championships.
钱 錢 argent Geld soldi お金 돈 dinheiro деньги dinero เงิน כסף, ממון raha λεφτά pengar danh từ
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12-06-2007, 03:30 PM
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#11 (permalink)
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SBR Hall of Famer
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?????/
Last edited by pokernut9999 : 12-06-2007 at 03:34 PM.
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12-06-2007, 03:57 PM
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#12 (permalink)
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SBR MVP
Join Date: 09-11-07
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To answer question #2, I need to correct your given info. There are actually 56 regular balls, of which 5 are chosen, and 46 mega balls (sounds dirty) of which one is chosen.
The formula is [56!/ (5! x 51!) ] x 46 = 175,711,536 possibilities.
P.S. 5! = 5x4x3x2x1
I confirmed the answer at the MM site. Do the math for yourself...it works.
Last edited by HedgeHog : 12-06-2007 at 04:01 PM.
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12-06-2007, 04:02 PM
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#13 (permalink)
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SBR Hall of Famer
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Quote:
Originally Posted by HedgeHog
To answer question #2, I need to correct your given info. There are actually 56 regular balls, of which 5 are chosen, and 46 mega balls (sounds dirty) of which one is chosen.
The formula is [56!/ (5! x 51!) ] x 46 = 175,711,536 possibilities.
P.S. 5! = 5x4x3x2x1
I confirmed the answer at the MM site. Do the math for yourself...it works.
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wow , same answer i posted an hour ago.
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12-06-2007, 04:05 PM
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#14 (permalink)
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SBR MVP
Join Date: 09-11-07
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Quote:
Originally Posted by pokernut9999
wow , same answer i posted an hour ago.
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I know. I just wanted to show the math behind your answer. Then I went to the Mega Millions site to confirm your devine genius 
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12-06-2007, 04:06 PM
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#15 (permalink)
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SBR Hall of Famer
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Quote:
Originally Posted by HedgeHog
I know. I just wanted to show the math behind your answer. Then I went to the Mega Millions to confirm your devine genius 
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12-06-2007, 04:09 PM
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#16 (permalink)
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Moderator
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Quote:
Originally Posted by Iwinyourmoney
1) A NFL weekend after byeweeks, there are 16 games a week. If I wanted to do a 16-team parlay, and have to pick every game (no O/U), ect.). Just one pick per game. How many different cards would I have to fill out to get EVERY SINGLE possible combination, which would give a guarentee win. Obviously I am not going to do it, its way to much to even try. Just wondering.
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Just as Hedgehog and Picoman explained, you would need 2 16 = 65,536 different cards to cover all possible outcomes.
Were you to receive true parlay odds, each parlay would pay out at US odds of about +3,113,234.
By betting $1 on each of the 65,536 parlays (and assuming no pushes) you would lock in a loss of $65,535 - $31,132.34 = $34,402.66 (or $34,402.66 / $65,535 ≈ 52.49% of the initial investment).
Quote:
Originally Posted by Iwinyourmoney
2). If I wanted to play the Mega Millions Lottery, and wanted every combination to guarentee a win, how many would there be? (If your not fimailar, the lottery has balls 1-75. There is also a "Mega Ball" number 1-75. You need to match 5/5 of the regular lottery balls, the you have to match you mega ball, the mega ball drawing is in a seperate container then the regular lottery, so # repeat is possible).
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Based on the game as you've descibed it (which is a bit different from the actual Mega Millions WK), the probability of hitting the first 5 balls would be 1/ combin(75,5) = 1/17,259,390 (where combin() refers to the Excel combinatorial function).
The probability of hitting the first 5 balls and the Mega Ball would then be 1/17,259,390/75 = 1 / 1,294,454,250 ≈ 0.00000007725%.
So to answer your actual question, if you wanted to guarantee a win you'd need to buy 1,294,454,250 tickets.
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